`tan^-1(tan(pi/12))=?`

The value of tan^(-1)(tan(8*pi/6)) is

2tan^(-1)(tan((7pi)/6))

tan^(-1)(tan((7pi)/6))

tan^(-1)(tan^(5 pi/6))

tan^(-1)(tan(2 pi/(3)))

(tan(pi/4)+tan(pi/6))/(1-tan(pi/4)tan(pi/6))=?

Evaluate each of the following: tan^(-1)((tan pi)/(3))( ii) tan^(-1)((tan(6 pi))/(7))( iii) tan^(-1)((tan(7 pi))/(6))